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Simplifying -1[8x + 2(2x + 7)] = 1 + -1(9x + 3) Reorder the terms: -1[8x + 2(7 + 2x)] = 1 + -1(9x + 3) -1[8x + (7 * 2 + 2x * 2)] = 1 + -1(9x + 3) -1[8x + (14 + 4x)] = 1 + -1(9x + 3) Reorder the terms: -1[14 + 8x + 4x] = 1 + -1(9x + 3) Combine like terms: 8x + 4x = 12x -1[14 + 12x] = 1 + -1(9x + 3) [14 * -1 + 12x * -1] = 1 + -1(9x + 3) [-14 + -12x] = 1 + -1(9x + 3) Reorder the terms: -14 + -12x = 1 + -1(3 + 9x) -14 + -12x = 1 + (3 * -1 + 9x * -1) -14 + -12x = 1 + (-3 + -9x) Combine like terms: 1 + -3 = -2 -14 + -12x = -2 + -9x Solving -14 + -12x = -2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -14 + -12x + 9x = -2 + -9x + 9x Combine like terms: -12x + 9x = -3x -14 + -3x = -2 + -9x + 9x Combine like terms: -9x + 9x = 0 -14 + -3x = -2 + 0 -14 + -3x = -2 Add '14' to each side of the equation. -14 + 14 + -3x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = -2 + 14 -3x = -2 + 14 Combine like terms: -2 + 14 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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